Thierry Aubin

Thierry Aubin

Thierry Aubin in 1976
(photo by George Bergman)
Born May 6, 1942
Died March 21, 2009 (aged 66)
Nationality  France
Fields Mathematics
Institutions Pierre and Marie Curie University
Doctoral advisor André Lichnerowicz
Doctoral students Philippe Delanoe
Zindine Djadli
Emmanuel Hebey
Michel Vaugon

Thierry Aubin (May 6, 1942 – March 21, 2009) was a French mathematician who worked at the Centre de Mathématiques de Jussieu, and was a leading expert on Riemannian geometry and non-linear partial differential equations. His fundamental contributions to the theory of the Yamabe equation led, in conjunction with results of Trudinger and Schoen, to a proof of the Yamabe Conjecture: every compact Riemannian manifold can be conformally rescaled to produce a manifold of constant scalar curvature. Along with Yau, he also showed that Kähler manifolds with negative first Chern classes always admit Kähler–Einstein metrics, a result closely related to the Calabi conjecture. The latter result provides the largest class of known examples of compact Einstein manifolds.

Aubin was a visiting scholar at the Institute for Advanced Study in 1979.[1] He was elected to the Académie des sciences in 2003.

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